| Grant number: | 13/50382-7 |
| Support type: | Regular Research Grants |
| Duration: | November 01, 2013 - October 31, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Applied Mathematics |
| Cooperation agreement: | Consortium of Alberta, Laval, Dalhousie and Ottawa (CALDO) |
| Principal researcher: | Marcio Fuzeto Gameiro |
| Grantee: | Marcio Fuzeto Gameiro |
| Principal researcher abroad: | Jean Phillippe Lessard |
| Institution abroad: | Université Laval, Canada |
| Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated research grant: | 13/07460-7 - Rigorous computations for PDEs, AP.R |
Abstract
The goal of this research project is to understand global properties of PDEs by developing rigorous computational methods to prove existence of periodic orbits, connecting orbits and even chaotic dynamics for PDEs, with the long-term goal of unlocking the secrets hidden within the dynamics of complicated fluid mechanics models such as the Navier-Stokes equations and Rayleigh-Bénard convection. (AU)
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